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Finding the Fourth Proportional to 73,490.40, 101,416.34 and 40,784.50

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Solution

The fourth proportional to 73,490.40, 101,416.34 and 40,784.50 is: 56,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,490.40 : 101,416.34 = 40,784.50 : x
  2. Step 2: Convert to fraction form
    73,490.40/101,416.34 = 40,784.50/x
  3. Step 3: Cross multiply
    73,490.40x = 101,416.34 × 40,784.50
  4. Step 4: Simplify right side
    73,490.40x = 4,136,214,718.73
  5. Step 5: Solve for x
    x = 4,136,214,718.73/73,490.40
  6. Step 6: Final answer
    x = 56,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.